Correlations of $C$ and $CP$ violation in $\eta \to {\pi }^0{\ell }^{+}{\ell }^{-}$ and ${\eta }^{\prime }\to \eta {\ell }^{+}{\ell }^{-}$

Abstract

Based on recent progress in the systematic analysis of $C$ and $CP$ violation in the light-meson sector, we calculate the $C$-odd transition amplitudes $\eta \to {\pi }^0{\ell }^{+}{\ell }^{-}$ and ${\eta }^{\prime }\to \eta {\ell }^{+}{\ell }^{-}$. Focusing on long-distance contributions driven by the lowest-lying hadronic intermediate states, we work out the correlations between these beyond-the-Standard-Model signals and the Dalitz-plot asymmetries in $\eta \to {\pi }^0{\pi }^{+}{\pi }^{-}$ and ${\eta }^{\prime }\to \eta {\pi }^{+}{\pi }^{-}$, using dispersion theory.

35 pages, 7 figures, 3 tables; v2: section 5 revised, discussion extended, version published in JHEP

References in corpus (11)

• Towards a theory of hadron resonances
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Radiative resonance couplings in $\gamma \pi \to \pi \pi$
• The cusp effect in eta' --> eta pi pi decays
• Dispersive Approach to Chiral Perturbation Theory
• Radiative corrections in K --> pi l+ l- decays
• Implications of the recent high statistics determination of the pion electromagnetic form factor in the timelike region
• Analysis of the J/psi --> pi^0 gamma^* transition form factor
• The semileptonic decays ${\eta }^{(\prime )}\to {\pi }^0{\ell }^{+}{\ell }^{-}$ and ${\eta }^{\prime }\to \eta {\ell }^{+}{\ell }^{-}$ in the standard model
• $C$ and $CP$ violation in effective field theories
• New-physics signatures via $CP$ violation in ${\eta }^{(\prime )}\to {\pi }^0{\mu }^{+}{\mu }^{-}$ and ${\eta }^{\prime }\to \eta {\mu }^{+}{\mu }^{-}$ decays

Cited by in corpus (1)

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